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We present a Ward identity for nonlinear sigma models using generalized nonlinear shift symmetries, without introducing current algebra or coset space. The Ward identity constrains correlation functions of the sigma model such that the…

High Energy Physics - Theory · Physics 2018-02-26 Ian Low , Zhewei Yin

In arXiv:2008.04330 it was shown that supertranslation and $\overline{SL(2,\mathbb C)}$ current algebra symmetries, corresponding to leading and subleading soft graviton theorems, are enough to determine the tree level MHV graviton…

High Energy Physics - Theory · Physics 2021-09-01 Shamik Banerjee , Sudip Ghosh , Sai Satyam Samal

Recently, the leading soft gluon theorem with single soft emission was shown to be the Ward identity of a two dimensional $\cal G$-Kac-Moody symmetry. In this note, we show that the leading soft gluon theorem can be interpreted as the Ward…

High Energy Physics - Theory · Physics 2021-10-12 Pujian Mao , Jun-Bao Wu

We compute tree-level celestial operator product expansions (OPE) in a bosonic sub-sector of the Berkovits-Witten conformal supergravity from the scattering amplitudes in the MHV configuration. While the OPE between a leading soft graviton…

High Energy Physics - Theory · Physics 2025-11-06 Nirmal Ghorai , Partha Paul , Nemani V. Suryanarayana

We elaborate on the radiative behaviour of tree-level scattering amplitudes in the soft regime. We show that the sub-leading soft term in single-gluon emission of quark-gluon amplitudes in QCD is controlled by differential operators, whose…

High Energy Physics - Theory · Physics 2015-06-23 Hui Luo , Pierpaolo Mastrolia , William J. Torres Bobadilla

Single-minus tree-level $n$-gluon scattering amplitudes are reconsidered. Often presumed to vanish, they are shown here to be nonvanishing for certain "half-collinear" configurations existing in Klein space or for complexified momenta. We…

High Energy Physics - Theory · Physics 2026-03-11 Alfredo Guevara , Alexandru Lupsasca , David Skinner , Andrew Strominger , Kevin Weil

The factorization of multi-leg gauge theory amplitudes in the soft and collinear limits provides strong constraints on the structure of amplitudes, and enables efficient calculations of multi-jet observables at the LHC. There is significant…

High Energy Physics - Phenomenology · Physics 2019-06-05 Arindam Bhattacharya , Ian Moult , Iain W. Stewart , Gherardo Vita

Soft factorization theorems can be reinterpreted as Ward identities for (asymptotic) symmetries of scattering amplitudes in asymptotically flat space-time. In this paper we study the symmetries implied by the all loop soft photon theorems…

High Energy Physics - Theory · Physics 2026-03-11 Shamik Banerjee , Raju Mandal , Biswajit Sahoo

We evaluate all split helicity gluon tree amplitudes in open twistor string theory. We show that these amplitudes satisfy the BCFW recurrence relations restricted to the split helicity case and, hence, that these amplitudes agree with those…

High Energy Physics - Theory · Physics 2012-09-10 Louise Dolan , Peter Goddard

Multi-collinear factorization limits provide a window to study how locality and unitarity of scattering amplitudes can emerge dynamically from celestial CFT, the conjectured holographic dual to gauge and gravitational theories in flat…

High Energy Physics - Theory · Physics 2021-03-05 Stephen Ebert , Atul Sharma , Diandian Wang

We discuss how scattering amplitudes in 4d Minkowski spacetime which involve multiple soft gravitons realize the algebra of BMS charges on the null boundary. In particular, we show how the commutator of two such charges is realized by the…

High Energy Physics - Theory · Physics 2019-09-04 Jacques Distler , Raphael Flauger , Bart Horn

We reformulate the scattering amplitudes of 4D flat space gauge theory and gravity in the language of a 2D CFT on the celestial sphere. The resulting CFT structure exhibits an OPE constructed from 4D collinear singularities, as well as…

High Energy Physics - Theory · Physics 2017-02-16 Clifford Cheung , Anton de la Fuente , Raman Sundrum

Conformally soft gluons are conserved currents of the Celestial Conformal Field Theory (CCFT) and generate a Kac-Moody algebra. We study celestial amplitudes of Yang-Mills theory, which are Mellin transforms of gluon amplitudes and take the…

High Energy Physics - Theory · Physics 2020-10-28 Wei Fan , Angelos Fotopoulos , Stephan Stieberger , Tomasz R. Taylor

We consider the multi-collinear limit of multi-gluon QCD amplitudes at tree level. We use the MHV rules for constructing colour ordered tree amplitudes and the general collinear factorisation formula to derive timelike splitting functions…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. Marquard , T. G. Birthwright

Using tools from color-kinematics duality we propose a holographic construction of gravitational amplitudes, based on a 2d Kac-Moody theory on the celestial sphere. In the $N\to \infty$ limit the gauge group corresponds to $w_{1+\infty}$,…

High Energy Physics - Theory · Physics 2022-09-05 Alfredo Guevara

We show that the soft photon, gluon and graviton theorems can be understood as the Ward-Takahashi identities of large gauge transformation, i.e., diffeomorphism that does not fall off at spatial infinity. We found infinitely many new…

High Energy Physics - Theory · Physics 2018-05-23 Yuta Hamada , Gary Shiu

In this paper, we study the single and double soft behaviors of tree level off-shell currents and on-shell amplitudes in nonlinear sigma model(NLSM). We first propose and prove the leading soft behavior of the tree level currents with a…

High Energy Physics - Theory · Physics 2015-08-27 Yi-Jian Du , Hui Luo

We consider the radiation of three soft gluons in a generic process for multiparton hard scattering in QCD. In the soft limit the corresponding scattering amplitude has a singular behaviour that is factorized and controlled by a colorful…

High Energy Physics - Phenomenology · Physics 2022-07-06 Dimitri Colferai

It is known that for N=8 supergravity, the double-soft-scalar limit of a n-point amplitude is given by a sum of local SU(8) rotations acting on a (n-2)-point amplitude. For N<8 supergravity theories, complication arises due to the presence…

High Energy Physics - Theory · Physics 2015-09-30 Wei-Ming Chen , Yu-tin Huang , Congkao Wen

The main focus of this work is to study magnetic soft charges of the four dimensional Maxwell theory. Imposing appropriate asymptotic falloff conditions, we compute the electric and magnetic soft charges and their algebra both at spatial…

High Energy Physics - Theory · Physics 2018-08-21 V. Hosseinzadeh , A. Seraj , M. M. Sheikh-Jabbari